6-(3-2y)/5x2=4y

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Solution for 6-(3-2y)/5x2=4y equation: 


x in (-oo:+oo)

6-(x^2*((3-(2*y))/5)) = 4*y // - 4*y

6-(x^2*((3-(2*y))/5))-(4*y) = 0

6-(x^2*((3-2*y)/5))-4*y = 0

(-1*x^2*(3-2*y))/5-4*y+6 = 0

(-1*x^2*(3-2*y))/5+(-4*5*y)/5+(5*6)/5 = 0

5*6-1*x^2*(3-2*y)-4*5*y = 0

2*x^2*y-3*x^2-20*y+30 = 0

(2*x^2*y-3*x^2-20*y+30)/5 = 0

(2*x^2*y-3*x^2-20*y+30)/5 = 0 // * 5

2*x^2*y-3*x^2-20*y+30 = 0

30-3*x^2-20*y = 0

DELTA = 0^2-(-3*4*(30-20*y))

DELTA = 12*(30-20*y)

12*(30-20*y) = 0

30-20*y = 0 // - 30

-20*y = -30 // : -20

y = -30/(-20)

y = 3/2

DELTA = 0  <=>  t_3 = 3/2

x = 0/(-3*2) i y = 3/2

x = 0 i y = 3/2

( x = ((12*(30-20*y))^(1/2)+0)/(-3*2) or x = (0-(12*(30-20*y))^(1/2))/(-3*2) ) i y > 3/2

( x = (-1/3)*3^(1/2)*(30-20*y)^(1/2) or x = (1/3)*3^(1/2)*(30-20*y)^(1/2) ) i y > 3/2

y-3/2 > 0

y-3/2 > 0 // + 3/2

y > 3/2

x in { 0, (-1/3)*3^(1/2)*(30-20*y)^(1/2), (1/3)*3^(1/2)*(30-20*y)^(1/2) }

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